Samsung Galaxy Tab 3 Lite 3G (M) (SM-T111M) Firmware Overview
What is the latest SM-T111M firmware?
T111MDVUAOI2, released October 12, 2015 for region XSA with Android 4.2.2. The archive holds 4 official builds for this region.
Is the Samsung Galaxy Tab 3 Lite 3G (M) still getting updates?
Most likely not: there has been no new firmware since October 2015, so Android 4.2.2 is the last version this model got. The final builds below are still the best choice for a clean reinstall.
SM-T111M firmware for region XSA
How to Flash SM-T111M Firmware
Put the Samsung Galaxy Tab 3 Lite 3G (M) into Download Mode, load the BL, AP, CP and CSC files into Odin on a Windows PC and press Start. Use HOME_CSC to keep your data, CSC for a full wipe.